Sqrt(486) - sqrt(24) + sqrt(6)
find the factors of 486 that we can remove from under the square root sign
2 * 243
2 * 3 * 81
2 * 3 * 9 * 9 (we have 2 nines, we can move a 9 outside the sqrt sign)
sqrt(486) = 9 sqrt(6)
Repeating for sqrt(24)
2 * 12
2 * 2 * 6
2 * 2 * 2 * 3 (we can move a 2 outside the sqrt
sqrt(24) = 2 sqrt(6)
Finally, add all 3 terms together
9 sqrt(6) - 2 sqrt(6) + sqrt(6)
8 sqrt(6)
8 times square root of 6 is the final answer
one apple left you subtract 5 from 4 and get 1
To find the average rate of change in a interval
![a\leq x\leq b](https://tex.z-dn.net/?f=a%5Cleq%20x%5Cleq%20b)
We use the following formula:
![\frac{f(b)-f(a)}{b-a}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D)
Applying this to our interval
![6\leq x\leq15](https://tex.z-dn.net/?f=6%5Cleq%20x%5Cleq15)
We have the following rate of change:
![\frac{f(15)-f(6)}{15-6}=\frac{107-53}{9}=\frac{54}{9}=6](https://tex.z-dn.net/?f=%5Cfrac%7Bf%2815%29-f%286%29%7D%7B15-6%7D%3D%5Cfrac%7B107-53%7D%7B9%7D%3D%5Cfrac%7B54%7D%7B9%7D%3D6)
We have an average rate of change equals to 6.
Answer: To check a solution, you can substitute the solutions into the equations and verify that both equations are true.
Step-by-step explanation:
Answer:
(x, y) = (-√3/2, 1/2)
Step-by-step explanation:
The terminal point for that angle can be read from a unit circle chart.
On the attached chart, the point of interest is the first one above the -x axis on the left side. The chart tells you the coordinates are ...
(x, y) = (-√3/2, 1/2)